1.
Consider the following statements:

I. limn2n+(2)n2n\displaystyle\lim_{n\to\infty}\frac{2^n+(-2)^n}{2^n} does not exist
II. limn3n+(3)n4n\displaystyle\lim_{n\to\infty}\frac{3^n+(-3)^n}{4^n} does not exist

Then